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1958 AMC 12 Question 8

AMC12 · 1958 AMC 12

Question 8

Which of these four numbers, $\sqrt{\pi^2},$ $\sqrt[3]{0.8},$ $\sqrt[4]{0.00016},$ $\sqrt[3]{-1}\cdot\sqrt{(0.09)^{-1}},$ is (are) rational?
  1. none
  2. all
  3. the first and fourth
  4. only the fourth
  5. only the first